{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import linear_model\n",
    "from sklearn.datasets import make_gaussian_quantiles  # 自己生成数据，而非外部调用\n",
    "from sklearn.preprocessing import PolynomialFeatures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征\n",
    "# 可以生成两类或多类数据\n",
    "x_data, y_data = make_gaussian_quantiles(n_samples=500, n_features=2,n_classes=2)\n",
    "\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data) # c代表颜色,2种\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic = linear_model.LogisticRegression()\n",
    "logistic.fit(x_data, y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.512\n"
     ]
    }
   ],
   "source": [
    "# 获取数据值所在的范围，计算一个区域\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "# np.r_按row来组合array， \n",
    "# np.c_按colunm来组合array\n",
    "# >>> a = np.array([1,2,3])\n",
    "# >>> b = np.array([5,2,5])\n",
    "# >>> np.r_[a,b]\n",
    "# array([1, 2, 3, 5, 2, 5])\n",
    "# >>> np.c_[a,b]\n",
    "# array([[1, 5],\n",
    "#        [2, 2],\n",
    "#        [3, 5]])\n",
    "# >>> np.c_[a,[0,0,0],b]\n",
    "# array([[1, 0, 5],\n",
    "#        [2, 0, 2],\n",
    "#        [3, 0, 5]])\n",
    "# 数据扁平化\n",
    "z = logistic.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()\n",
    "\n",
    "print('score:',logistic.score(x_data,y_data))\n",
    "\n",
    "# 这里用线性回归来分类非线性图像，没有意义，实际就只有50%，等于没有。只是展示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.986\n"
     ]
    }
   ],
   "source": [
    "# 定义多项式回归,degree的值可以调节多项式的特征\n",
    "# 确定是非线性，要做特征处理，加入非线性特征\n",
    "poly_reg  = PolynomialFeatures(degree=5) \n",
    "# 特征处理\n",
    "x_poly = poly_reg.fit_transform(x_data)\n",
    "# 定义逻辑回归模型\n",
    "logistic = linear_model.LogisticRegression()\n",
    "# 训练模型\n",
    "logistic.fit(x_poly, y_data)\n",
    "\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "# np.r_按row来组合array， \n",
    "# np.c_按colunm来组合array\n",
    "# >>> a = np.array([1,2,3])\n",
    "# >>> b = np.array([5,2,5])\n",
    "# >>> np.r_[a,b]\n",
    "# array([1, 2, 3, 5, 2, 5])\n",
    "# >>> np.c_[a,b]\n",
    "# array([[1, 5],\n",
    "#        [2, 2],\n",
    "#        [3, 5]])\n",
    "# >>> np.c_[a,[0,0,0],b]\n",
    "# array([[1, 0, 5],\n",
    "#        [2, 0, 2],\n",
    "#        [3, 0, 5]])\n",
    "\n",
    "z = logistic.predict(poly_reg.fit_transform(np.c_[xx.ravel(), yy.ravel()]))\n",
    "# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()\n",
    "\n",
    "print('score:',logistic.score(x_poly,y_data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
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